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Mrrafil [7]
1 year ago
6

On the unit circle, an angle terminates at the coordinate (x,y). What is the relationship between the x and y components of the

coordinate and the trig functions sin and cos?How can we use those relationships to predict the sign (+/-) for these trig functions when an angle terminates within a given quadrant?

Mathematics
1 answer:
Ivahew [28]1 year ago
6 0

The unit circle is represented below:

As can be observed in the figure above, for an angle (t), the relation between the trigonometric functions and x and y components is:

x = cos(t)

y = sen(t)

x is positive in the first and in the fourth quadrant. Thus, cos (t) will be positive for angles in the first and fourth quadrant.

y is positive in the first and in the second quadrant. Thus, sin (t) will be positive for angles in the first and second quadrant.

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Round each number to the nearest ten. what is the best estimate for the answer 303.55
bixtya [17]
Answer=303.6

When rounding numbers to the nearest tenth, we need to look to the number in the hundredths place.

303.55

If the number is 5 or greater, we round up. If the number is 4 or less, we round down. The number IS 5, so we round up.

303.55 becomes 303.6
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The exterior walls of the regular pentagon shaped courthouse must be painted. Each wall is 80ft by 18ft what is the surface area
ivolga24 [154]

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Question 9 of 25
tresset_1 [31]

Answer:

One approach to this problem is to obtain the graph for the given equation.

We need to find every intersection those functions have with the axis 'x' and 'y'

starting with g(x)

g(x=0)=0-3, first point (0,-3) it iis the crossing point with 'x' axis

g(x)=0=x-3, second point (3,0) it iis the crossing point with 'y' axis

Lets do the same for f(x)

g(x=0)=0, this leads to the first point (0,0) it iis the crossing point with 'x' axis and also, with the 'y' axis

We dont need to find any other, since always y=x

By plotting we have the attached picture

Now you can see that g(x) differs from its parent function in that is shifted 3 units to the right, and also 3 units down.

Step-by-step explanation:

8 0
2 years ago
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Mumz [18]
Answer:

The first one B

Step by step explanation:

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4 0
2 years ago
Find the​ range, variance, and standard deviation for the given sample data. Include appropriate units in the results.Listed bel
timama [110]

Answer:

D.​No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

Step-by-step explanation:

(a) Range is the difference between the smallest and largest observation.

Here Smallest observation = 0.63

and Largest observation = 1.48

⇒ Range = 0.85

(b) Standard Deviation is calculate by,

Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}} }

where, \bar{x} is mean of the observation.

Here, Mean = 0.988

⇒ Standard Deviation = 0.313

(c) Variance is the square of Standard deviation.

Thus, Variance = (Standard Deviation)² = 0.098

(d) Here last option(D) is true i.e. ​No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

8 0
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